具有四元数和复数元素的矩阵的加权核心-EP、DMP、MPD和CMP逆的行列式表示
Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses of matrices with quaternion and complex elements
摘要：
在本文中，我们扩展的加权核心EP右逆和左逆的概念，加权的ESTA和MPD逆，和CMP逆的四元数除环H上的矩阵有一些功能相比，这些逆在复数域。我们给出了它们的计算的直接法，即用作者以前介绍的非交换列行列式和行行列式表示它们的行列式。作为特殊情况，利用通常的行列式，我们也给出了复元素矩阵的行列式表示。最后给出一个数值例子来说明主要结果。
英文摘要：
In this paper, we extend notions of the weighted core-EP right and left inverses, the weighted DMP and MPD inverses, and the CMP inverse to matrices over the quaternion skew field H that have some features in comparison to these inverses over the complex field. We give the direct methods of their computing, namely, their determinantal representations by using noncommutative column and row determinants previously introduced by the author. As the special cases, by using the usual determinant, we give their determinantal representations for matrices with complex entries as well. A numerical example to illustrate the main result is given.
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